Answer:
[tex]\displaystyle d = 2\sqrt{97}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -6)
Point (-3, 12)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(-8)^2+(18)^2}[/tex][√Radical] Evaluate Exponents: [tex]\displaystyle d = \sqrt{64+324}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{388}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{97}[/tex]If 7x +2 = 7(x+2)
How many solutions does this equation
have?
-sixteen
-one
-infinite
-three
-five
-none
Answer:
S.tep-by-step explanation:
there are 2918 male workers in a factory. There are 1264 fewer male than female workers. HOW MANY MALE AND FEMALE WORKERS ARE THERE IN THE FACTORY ALTOGETHER?
So you add 2,918+1,264=4,182
Help, ill give brainliest to those who answer first and those who answer accurately
Answer:
d
Step-by-step explanation:
need help to figure it out
Answer:
Fraction- 20/100
100 - 80 = 20
Step-by-step explanation:
Answer:
I think 20/100 is the answer
Can somebody help me?????
Answer:
1/2 = 3/6
Step-by-step explanation:
.................
HELP PLEASE WILL GIVE BRAINLIST
One number is six more than five times another number. If the sum of the numbers is 24, find the numbers.
Answer:
x = 21 and y = 3
Step-by-step explanation:
We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:
One number is six more than five times another number.
x = 5 y + 6
the sum of the numbers is 24
x + y = 24
solve for x in the second equation:
x = 24 - y
Use this to replace x in the first equation:
24 - y = 5 y + 6
add y to both sides
24 = 6 y + 6
subtract 6 from both sides to isolate the term in y
18 = 6 y
divide both sides by 6
y = 3
And now we can find x using:
x = 24 - y = 24 - 3 = 21
Therefore, x = 21 and y = 3
hello can anyone help me with this one questions?
Answer: c
Step-by-step explanation:
What is 13/20 as a part to part ratio
65%
Convert fraction (ratio) 13 / 20 Answer: 65%
Which is the greater rate, 15 miles in 12 minutes or 25 miles in 20 minutes?
please help me please i really need help please
A cyclist is riding a bicycle whose wheels have a diameter of 2.1 feet. Suppose the wheels turn at a rate of 260 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute. Do not round any intermediate computations, and round your answer to the nearest whole number.
Answer:
a.1633rad/min
b.1715feet/min
Step-by-step explanation:
We are given that
Diameter of wheel, d=2.1 feet
Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet
Rate=260 rev/min
a. We have to find the angular speed of the wheel in rad/min
1 rev=[tex]2\pi[/tex]radian
Where [tex]\pi=3.14[/tex]
Using the value
Angular speed=[tex]260\times 2\times 3.14/min[/tex]
Angular speed,[tex]\omega=1633rad/min[/tex]
(b)
Speed=[tex]r\omega[/tex]
Using the formula
Speed of the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min
Speed of the cyclist=1714.65[tex]\approx 1715[/tex]feet/min
232. Сколько решений имеет уравнение | х + 3 | -один?
Answer: уравнение имеет 2 решения:
x₁ = - 4; x₂ = - 2.
Step-by-step explanation:
Ix + 3I = 1
1) x + 3 = 1
x + 3 - 3 = 1 - 3
x = -2
2) - (x + 3) = 1
x + 3 = - 1
x + 3 - 3 = - 1 - 3
x = - 4
Select all the expressions that are equal to the product of 18 and 6.
Answer: 108
Step-by-step explanation:
product means x 's so there for 18x6= 108
Write a division equation that represents the question: how many (3/8)s are in (5/4)
i need answers
Answer:
5/4 ÷ 3/8
Step-by-step explanation:
Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.
Answer:
0.01521
Step-by-step explanation:
The Margin of Error for Difference in Proportions is given as:
z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2
z = z score for 95% confidence interval
= 1.96
In 2018, out of 1542 respondents, 415 said it was the most important.
p1 = x1/n1
x1= 326 n1 = 1323
p1 = 326/1323
0.246409675
Approximately = 0.246
In 2012, out of 1323 respondents, 326 said it was the most important.
p2 = x2/n2
x2 = 415, n2 = 1542
p2= 415/1942
p2 = 0.2136972194
Approximately = 0.214
Margin of Error =
1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542
1.96 × √0.0005699169 - 0.0005097276
1.96 × √(0.0000601893)
1.96 × 0.0077581763
= 0.0152060256
Approximately = 0.01521
Therefore, Margin of Error = 0.01521
You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
How to calculate margin of error for difference in proportion to find the margin of error ?Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:
[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]
where we have:
[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]
and
[tex]\alpha = \text{Level of significance}[/tex]
Using the given data to get the margin of error[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]
For 95% confidence, we have Z score as 1.96
The proportions are calculated as:
[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]
Thus, margin of error is calculated as
[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
Learn more about margin of error here:
https://brainly.com/question/4757147
Simplify
-3(2.5-k)+0.5(7+8k)
Answer:
-7•5+3k+3•5+4k
-7•5+3•5+4k+3k
-4+7k
If K = {(x, y) Ix-y=5), is Set K a function?
1. Νο
2. Yes
Answer:
no its not
Step-by-step explanation:
3x + y = 19
2x - y = 6
Answer:
Step-by-step explanation:
(x,y)=(5,4)
In a box there are 150 beads of red and blue colour. If there are 50 beads of red colour, find the ratio of red beads to blue beads.
Answer:
30 is the ratio
Step-by-step explanation:
-_-
00:00
A fruit farm has a total of 386 apple trees, peach trees, and pear trees.
There are 156 apple trees and 126 peach trees. How many pear trees are there?
Enter your answer in the box.
pear trees
Answer:
A s h i t load
Step-by-step explanation:
Answer:
104
Step-by-step explanation:
156+126=282 & 386-282=104 so,the answer is 104
Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?
Answer:
T = 2.5
Step-by-step explanation:
Hope this helps!
Answer:
T >2.5
Step-by-step explanation:
Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120
Answer:
Step-by-step explanation:
You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars
The total tickets sold on Saturday was 50
The train station made 120
How many adult tickets and kid tickets did they sell?
(40 kids, 10 adults)
A pen cost $40 and the book cost $10
The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.
x + y = 50 ....... i
2x + 4y = 120 .... ii
Let x = pen
Let y = book.
From equation i, x = 50 - y
Since 2x + 4y = 120
2(50 - y) + 4y = 120
100 - 2y + 4y = 120
Collect like terms
-2y + 4y = 120 - 100
2y = 20
y = 10
Therefore, a book cost $10
Since x + y = 50
x + 10 = 50
x = 50 - 10
x = 40
A pen cost $40
Read related link on:
https://brainly.com/question/20986179
The sum of eight times a number and negative exceeds twelve.
Answer:8x + -4 > 12
8x > 16
x > 2
Step-by-step explanation:
Brainliest :)
(Score for Question 3: ___ of 5 points)
(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
(c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
this is for k12 so click off if u dont have an answer or ill report
Goron should get 98 votes
The question breaks down to taking 35% of 280.
Votes = 35/100 * 280 = people who will vote for Goron
Votes = 9800 / 100 = people who will vote for Goron.
Votes = 98
On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?
Answer:
......
Step-by-step explanation:
Answer
11 inches by 8.5 inches
Step-by-step explanation:
We can use proportions to solve this problem, drawing on top, real life on bottom
1/2 inch x inches
-------------- = ----------
1 ft 22ft
Using cross products
1/2 * 22 = x*1
11 =x
11 inches
1/2 inch x inches
-------------- = ----------
1 ft 17ft
Using cross products
1/2 * 17 = x*1
8.5 =x
HELP ITS REALLY URGENT
Answer/Step-by-step explanation:
a. m<h = x°
Two angles to use in finding x are <h and 55°
Angle pair formed: linear pair angles
b. x° + 55° = 180° (linear pair)
Subtract 55° from each side
x + 55 - 55 = 180 - 55
x = 125°
c. Given: m<n = y°
Two angles to use in solving for y are: <h and <n
Angle pair formed: alternate exterior angles
d. m<n = y° (given)
m<n = x° = 125° (as solved in 2b)
Therefore:
y = x (alternate exterior angles are congruent)
thus:
y = 125° (substitution)
What is the slope of the line with the equation -5 - x = y?
O 5
O 1
O -1
O-5
Answer:
-1
Step-by-step explanation:
What ever number is in front of x that is the answer. If there is only a x then it means 1.
please help me please please
5. Which of the following is a pair of alternate exterior angles?
Angles 1 and 4
Angles 2 and 8
Angles 1 and 7
Angles 4 and 7
Answer: angle 1 and 7
Step-by-step explanation: you just do it